7538315768060 has 288 divisors, whose sum is σ = 20264685235200. Its totient is φ = 2329123991040.

The previous prime is 7538315768051. The next prime is 7538315768107. The reversal of 7538315768060 is 608675138357.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1077360482 + ... + 1077367478.

It is an arithmetic number, because the mean of its divisors is an integer number (70363490400).

Almost surely, 2^{7538315768060} is an apocalyptic number.

7538315768060 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7538315768060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10132342617600).

7538315768060 is an abundant number, since it is smaller than the sum of its proper divisors (12726369467140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7538315768060 is a wasteful number, since it uses less digits than its factorization.

7538315768060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 7538315768060 in words is "seven trillion, five hundred thirty-eight billion, three hundred fifteen million, seven hundred sixty-eight thousand, sixty".